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121220808480 = 25325127765921
BaseRepresentation
bin111000011100101010…
…0101011111100100000
3102120220002100002220100
41300321110223330200
53441230011332410
6131404342342400
711520651604542
oct1607124537440
9376802302810
10121220808480
1147455a93652
121b5b072aa00
13b57b0b5c55
145c1d531692
1532472518c0
hex1c3952bf20

121220808480 has 144 divisors (see below), whose sum is σ = 413996224824. Its totient is φ = 32299745280.

The previous prime is 121220808437. The next prime is 121220808493. The reversal of 121220808480 is 84808022121.

It can be written as a sum of positive squares in 4 ways, for example, as 74601089424 + 46619719056 = 273132^2 + 215916^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1805920 + ... + 1871840.

Almost surely, 2121220808480 is an apocalyptic number.

121220808480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121220808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206998112412).

121220808480 is an abundant number, since it is smaller than the sum of its proper divisors (292775416344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121220808480 is a wasteful number, since it uses less digits than its factorization.

121220808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67219 (or 67208 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 121220808480 in words is "one hundred twenty-one billion, two hundred twenty million, eight hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1277 1440 2554 3831 5108 6385 7662 10216 11493 12770 15324 19155 20432 22986 25540 30648 38310 40864 45972 51080 57465 61296 65921 76620 91944 102160 114930 122592 131842 153240 183888 197763 204320 229860 263684 306480 329605 367776 395526 459720 527368 593289 612960 659210 791052 919440 988815 1054736 1186578 1318420 1582104 1838880 1977630 2109472 2373156 2636840 2966445 3164208 3955260 4746312 5273680 5932890 6328416 7910520 9492624 10547360 11865780 15821040 18985248 23731560 31642080 47463120 84181117 94926240 168362234 252543351 336724468 420905585 505086702 673448936 757630053 841811170 1010173404 1262716755 1346897872 1515260106 1683622340 2020346808 2525433510 2693795744 3030520212 3367244680 3788150265 4040693616 5050867020 6061040424 6734489360 7576300530 8081387232 10101734040 12122080848 13468978720 15152601060 20203468080 24244161696 30305202120 40406936160 60610404240 121220808480